Maths > Continuity and Differentiability > 1.0 Continuous Function
Continuity and Differentiability
1.0 Continuous Function
2.0 Algebra of continuous functions
3.0 Differentiability
1.2 Continuity in closed interval $[a,b]$
$f(x)$ is continuous in closed interval $[a,b]$ if it satisfies following conditions:
- $f(x)$ is continuous in open interval $(a,b)$.
- $f(x)$ is continuous at the end points $a$ and $b$ which means $$\mathop {\lim }\limits_{x \to {a^ + }} f(x) = f(a)\;and\;\mathop {\lim }\limits_{x \to {b^ - }} f(x) = f(b)$$
